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2122130013 = 32997251467
BaseRepresentation
bin111111001111101…
…0010001001011101
312110220011101002220
41332133102021131
513321231130023
6550324335553
7103405543653
oct17637221135
95426141086
102122130013
11999983763
124b28445b9
1327a868943
14161baadd3
15c64893e3
hex7e7d225d

2122130013 has 16 divisors (see below), whose sum is σ = 2957263680. Its totient is φ = 1351881216.

The previous prime is 2122130011. The next prime is 2122130051. The reversal of 2122130013 is 3100312212.

It is not a de Polignac number, because 2122130013 - 21 = 2122130011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122129974 and 2122130001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122130011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117295 + ... + 134172.

It is an arithmetic number, because the mean of its divisors is an integer number (184828980).

Almost surely, 22122130013 is an apocalyptic number.

It is an amenable number.

2122130013 is a deficient number, since it is larger than the sum of its proper divisors (835133667).

2122130013 is a wasteful number, since it uses less digits than its factorization.

2122130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251596.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2122130013 is about 46066.5823889726. The cubic root of 2122130013 is about 1285.0617467440.

Adding to 2122130013 its reverse (3100312212), we get a palindrome (5222442225).

The spelling of 2122130013 in words is "two billion, one hundred twenty-two million, one hundred thirty thousand, thirteen".

Divisors: 1 3 29 87 97 291 2813 8439 251467 754401 7292543 21877629 24392299 73176897 707376671 2122130013